6r-8=1.5r-6

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Solution for 6r-8=1.5r-6 equation:


Simplifying
6r + -8 = 1.5r + -6

Reorder the terms:
-8 + 6r = 1.5r + -6

Reorder the terms:
-8 + 6r = -6 + 1.5r

Solving
-8 + 6r = -6 + 1.5r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1.5r' to each side of the equation.
-8 + 6r + -1.5r = -6 + 1.5r + -1.5r

Combine like terms: 6r + -1.5r = 4.5r
-8 + 4.5r = -6 + 1.5r + -1.5r

Combine like terms: 1.5r + -1.5r = 0.0
-8 + 4.5r = -6 + 0.0
-8 + 4.5r = -6

Add '8' to each side of the equation.
-8 + 8 + 4.5r = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 4.5r = -6 + 8
4.5r = -6 + 8

Combine like terms: -6 + 8 = 2
4.5r = 2

Divide each side by '4.5'.
r = 0.4444444444

Simplifying
r = 0.4444444444

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